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The function AequalsUpper A 0e Superscript negative 0.01386 x models the amount in pounds of a particular radioactive material stored in a concrete​ vault, where x is the number of years since the material was put into the vault. If 700 pounds of the material are initially put into the​ vault, how many pounds will be left after 60 ​years? Round to nearest whole number.

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Answer:

305 pounds

Step-by-step explanation:

-This is an exponential function given as:

[tex]A=A_oe^{0.01386x}[/tex]

#Where [tex]A_o,\ A[/tex] is the initial and final quantities after time x.

#We substitute the given values to solve for A after 60 yrs:

[tex]A=A_oe^{-0.01386x}\\\\=700e^{-0.01386\times 60}\\\\=304.7465157\approx 305[/tex]

Hence, the amount after 60yrs is 305 pounds

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